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116003328 = 293710789
BaseRepresentation
bin1101110101000…
…01001000000000
322002021120122120
412322201020000
5214144101303
615302204240
72606004060
oct672411000
9262246576
10116003328
115a532021
1232a23680
131b057a2c
14115993a0
15a2b6553
hex6ea1200

116003328 has 80 divisors (see below), whose sum is σ = 353221440. Its totient is φ = 33140736.

The previous prime is 116003317. The next prime is 116003339. The reversal of 116003328 is 823300611.

It is an interprime number because it is at equal distance from previous prime (116003317) and next prime (116003339).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 116003298 and 116003307.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5358 + ... + 16146.

It is an arithmetic number, because the mean of its divisors is an integer number (4415268).

Almost surely, 2116003328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176610720).

116003328 is an abundant number, since it is smaller than the sum of its proper divisors (237218112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116003328 is an equidigital number, since it uses as much as digits as its factorization.

116003328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10817 (or 10801 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 116003328 is about 10770.4841116823. The cubic root of 116003328 is about 487.7045600433.

Adding to 116003328 its reverse (823300611), we get a palindrome (939303939).

The spelling of 116003328 in words is "one hundred sixteen million, three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 10789 21578 32367 43156 64734 75523 86312 129468 151046 172624 226569 258936 302092 345248 453138 517872 604184 690496 906276 1035744 1208368 1380992 1812552 2071488 2416736 2761984 3625104 4142976 4833472 5523968 7250208 8285952 9666944 14500416 16571904 19333888 29000832 38667776 58001664 116003328